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3 years ago

Factor completely and explain 4xy-14x+16y-56

Mathematics

1 answer:

gulaghasi [49]3 years ago

5 0

Answer:

2(2y−7)(x+4)

Step-by-step explanation:

Factor 4xy−14x+16y−56

4xy−14x+16y−56

=2(2y−7)(x+4)

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What ratio forms a proportion with 2/3?<br> A. 2/4 B. 3/4 C. 4/6 D. 3/2

LekaFEV [45]

Answer:

Step-by-step explanation:

because you can simplify 4/6 by 2.

2 goes into 4 twice and then 2 goes into 6 3 times

2/3

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2 years ago

In how many ways can a president and a vice president be randomly selected from a class of 20 students?

SpyIntel [72]

Answer:

n how many ways can a president, vice president, and a secretary be chosen? It is 12X11X10. Permutation of n things taken r at a time: nPr=n!/(n-r)! 12P3=12*11*10*9!/9!= 12*11*10=1320 ways.

Step-by-step explanation:

7 0

3 years ago

An area of 18 square feet that is 6 feet long and 3 feet wide. A rug covered 1/3 square foot tiles. How many tiles will the rug

Shkiper50 [21]

Answer:

The number of tiles the rug will cover is 54 tiles

Step-by-step explanation:

Here we have,

Total area covered by the rug = 18 ft²

Size of one tile = 1/3 ft²

Therefore the number of tiles that can fit into the the area is given by;

Total area of the rug ÷ Area of one tile

= 18 ft² ÷ 1/3 ft²

Here we note that we are dividing a number by a fraction which is the same as multiplying the number by the inverse of the fraction as follows

= 18 × 3/1 ft²/ft² = 54 tiles

The number of tiles the rug will cover = 54 tiles.

5 0

3 years ago

Read 2 more answers

What is the distance between the points (2,3) and (5,-4)

sammy [17]

It would be 7.6

Hope this helps

Have a great day/night

5 0

3 years ago

Determine the number of possible solutions for a triangle with B=37 degrees, a=32, b=27

vladimir1956 [14]

Answer:

Two possible solutions

Step-by-step explanation:

we know that

Applying the law of sines

$\frac{a}{sin(A)}=\frac{b}{Sin(B)}=\frac{c}{Sin(C)}$

we have

$a=32\ units$

$b=27\ units$

$B=37\°$

step 1

Find the measure of angle A

$\frac{a}{sin(A)}=\frac{b}{Sin(B)}$

substitute the values

$\frac{32}{sin(A)}=\frac{27}{Sin(37\°)}$

$sin(A)=(32)Sin(37\°)/27=0.71326$

$A=arcsin(0.71326)=45.5\°$

The measure of angle A could have two measures

the first measure-------> $A=45.5\°$

the second measure -----> $A=180\°-45.5\°=134.5\°$

step 2

Find the first measure of angle C

Remember that the sum of the internal angles of a triangle must be equal to $180\°$

$A+B+C=180\°$

substitute the values

$A=45.5\°$

$B=37\°$

$45.5\°+37\°+C=180\°$

$C=180\°-(45.5\°+37\°)=97.5\°$

step 3

Find the first length of side c

$\frac{a}{sin(A)}=\frac{c}{Sin(C)}$

substitute the values

$\frac{32}{sin(37\°)}=\frac{c}{Sin(97.5\°)}$

$c=Sin(97.5\°)\frac{32}{sin(37\°)}=52.7\ units$

therefore

the measures for the first solution of the triangle are

$A=45.5\°$ , $a=32\ units$

$B=37\°$ , $b=27\ units$

$C=97.5\°$ , $b=52.7\ units$

step 4

Find the second measure of angle C with the second measure of angle A

Remember that the sum of the internal angles of a triangle must be equal to $180\°$

$A+B+C=180\°$

substitute the values

$A=134.5\°$

$B=37\°$

$134.5\°+37\°+C=180\°$

$C=180\°-(134.5\°+37\°)=8.5\°$

step 5

Find the second length of side c

$\frac{a}{sin(A)}=\frac{c}{Sin(C)}$

substitute the values

$\frac{32}{sin(37\°)}=\frac{c}{Sin(8.5\°)}$

$c=Sin(8.5\°)\frac{32}{sin(37\°)}=7.9\ units$

therefore

the measures for the second solution of the triangle are

$A=45.5\°$ , $a=32\ units$

$B=37\°$ , $b=27\ units$

$C=8.5\°$ , $b=7.9\ units$

6 0

3 years ago

Factor completely and explain 4xy-14x+16y-56​

Factor completely and explain 4xy-14x+16y-56